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3 years ago

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle c?

Mathematics

1 answer:

alexandr402 [8]3 years ago

4 0

3x+x+20 = 180
4x = 180-20
4x = 160
x = 40

×+20+3x+2x+38+C=360
40+20+3×40+2×40+38+C=360
40+20+120+80+38+C=360
298+C=360
C=360-298
C =62°

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ollegr [7]

Answer:

positive

Step-by-step explanation:

the discriminant of the function is postive.

because from the graph we notice that it has 2 intercepts on x-axis, which means the function has 2 real solution when y=0

that implies the discriminant is positive.

$\Delta = \sqrt{b^2-4ac}$

if $\Delta > 0$ we have 2 distinct real solution

if $\Delta$ we have no real solution but 2 complex solutions

if $\Delta = 0$ we have 2 identical real solution

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3 years ago

In meters what is the value of x? Pls i really dont know how to do this

Hitman42 [59]

Answer:

x = 75 m

Step-by-step explanation:

This is a problem of similar triangles solved using proportions.

In similar triangles, corresponding side lengths are proportional.

Here the small and large triangles are similar because the have all three angles congruent.

By proportions, identifying corresponding sides,

x/45 = 50/30

solve for x

x = 45*(50/30) = 75 m

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3 years ago

For every 5 pages in a book Fred reads, Lonnie reads 4 pages. In 1 hour, they read a combined total of 36 pages. How many pages

nydimaria [60]

Answer:

Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.

Step-by-step explanation:

The table that can be formed by the rate at which they study the number of pages of a book is:

Fred Lonnie total

5 4 9

10 8 18

15 12 27

20 16 36

That means when they read a combined of 36 pages.

Then the number of pages read by Fred is 20 pages.

and the number of pages read by Lonnie is 16 pages.

(

Also it could be done as :

Let Fred reads 'x' pages.

so, the number of pages read by Lonnie is: (4/5)x

Hence,

x+(4/5)x=36

on solving this linear equation we have:

x=20

and (4/5)x=16

)

Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_3%7Bx%5E%7B2%7D-x%20%7D%20%5C%2C%20dx" id="TexFormula1" title="\int\limits

melisa1 [442]

Answer:

$\frac{53}{6}$

Step-by-step explanation:

$\int\limits^4_3 {x^2-x} \, dx$

= [ $\frac{x^3}{3}$ - $\frac{x^2}{2}$ ] ← evaluate for upper limit - lower limit

= ( $\frac{64}{3}$ - $\frac{16}{2}$ ) - ( $\frac{27}{3}$ - $\frac{9}{2}$ )

= $\frac{64}{3}$ - 8 - 9 + $\frac{9}{2}$

= $\frac{155}{6}$ - 17

= $\frac{53}{6}$

5 0

3 years ago

Several students were asked to name the kinds of animals they saw in the past week at the park. Determine the ratio that compare

SVETLANKA909090 [29]

Answer:

A. 1:8

Step-by-step explanation:

We have been given that several students were asked to name the kinds of animals they saw in the past week at the park.

Dogs: 8

Cat: 2

Fish: 4

Lizard: 2

We are asked to find the ratio that compares the number of cats seen to the total number of animals seen.

Let us find total number of animal by adding each type of animals as:

$\text{Total animals}=8+2+4+2$

$\text{Total animals}=16$

We can see that the students saw 2 cats, so ratio of cats to total animals would be $2:16$ .

Dividing 2 and 16 by 2, we will get:

$\frac{2}{2}:\frac{16}{2}\Rightarrow 1:8$

Therefore, the ratio 1:8 compares the number of cats seen to the total number of animals seen and option A is the correct choice.

5 0

2 years ago